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In the
philosophy of language In analytic philosophy, philosophy of language investigates the nature of language and the relations between language, language users, and the world. Investigations may include inquiry into the nature of meaning, intentionality, reference, the ...
, failure to refer, also reference failure, referential failure or failure of reference, is the concept that names can fail to name a real object. According to
Bertrand Russell Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, ar ...
's theory of truth, there is only one actual world, and a statement's truth value depends on whether the statement obtains in the actual world. Continuing the tradition of
Gottlob Frege Friedrich Ludwig Gottlob Frege (; ; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the University of Jena, and is understood by many to be the father of analytic philo ...
, Bertrand Russell posited that a name picks out, or refers to, a real object in the world (Russell's
correspondence theory of truth In metaphysics and philosophy of language, the correspondence theory of truth states that the truth or falsity of a statement is determined only by how it relates to the world and whether it accurately describes (i.e., corresponds with) that world ...
). The name ''
Genghis Khan ''Chinggis Khaan'' ͡ʃʰiŋɡɪs xaːŋbr />Mongol script: ''Chinggis Qa(gh)an/ Chinggis Khagan'' , birth_name = Temüjin , successor = Tolui (as regent)Ögedei Khan , spouse = , issue = , house = Borjigin , ...
'' thus picks out the 12th and 13th century
Mongol The Mongols ( mn, Монголчууд, , , ; ; russian: Монголы) are an East Asian ethnic group native to Mongolia, Inner Mongolia in China and the Buryatia Republic of the Russian Federation. The Mongols are the principal member of ...
leader we know by that name. Any sentence in which we attach a predicate to the name ''Genghis Khan'' is true if the predicate obtains in the actual world. Any sentence in which the predicate does not obtain for Genghis Khan is false. The Wikipedia statement “''Genghis Khan founded the largest contiguous empire in world history''” is thus true, and the statement “''Genghis Khan was one of the most successful playwrights of late Victorian London''” is false. As an example for a name that fails to refer to a real object, Russell used “''the present king of France''“ in a 1905 article.


Truth values in fictional world


Distinguishing between fictional statements and false statements

According to the Russellian theory of reference, the statement “
Long John Silver Long John Silver is a fictional character and the main antagonist in the novel ''Treasure Island'' (1883) by Robert Louis Stevenson. The most colourful and complex character in the book, he continues to appear in popular culture. His missing l ...
has a wooden leg” and the statement “ Earth's moon has a diameter of four meters” are both false. The first statement suffers reference failure, because it fails to pick out an individual in the actual world. The second sentence refers to an object in the actual world, but the predicate does not match the actual world. (The actual diameter being more than 3470 km.) Russell's theory thus does not assign different
truth-value In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth, which in classical logic has only two possible values (''true'' or '' false''). Computing In some progr ...
s to the two statements.


True and false statements in fiction

In the Russellian system, the statement “Long John Silver has a wooden leg” and the statement “Long John Silver was one of the most successful playwrights of late Victorian London” have the same truth value: false. This equality may present problems for those wishing to distinguish such statements in terms of truth value.


Real referents in fictional worlds

Some statements are false with reference to the actual world but potentially true in reference to some fictional world. Coleridge's poem "
Kubla Khan ''Kubla Khan'' () is a poem written by Samuel Taylor Coleridge, completed in 1797 and published in 1816. It is sometimes given the subtitles "A Vision in a Dream" and "A Fragment." According to Coleridge's preface to ''Kubla Khan'', the poem ...
" ("In Xanadu did Kubla Khan a stately pleasure-dome decree") does not, strictly speaking, suffer reference failure. The 18th century version of the name Kublai Khan picks out a Mongol emperor, the grandson of Genghis Khan. But since few of the events in Coleridge's narrative poem obtain in the actual world, according to Russellian logic, most statements in the poem are false.


See also

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Definite description In formal semantics and philosophy of language, a definite description is a denoting phrase in the form of "the X" where X is a noun-phrase or a singular common noun. The definite description is ''proper'' if X applies to a unique individual or ...


References

{{Reflist Philosophy of language Bertrand Russell